Details

sample53.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
14.0ms	255×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms	(* 6.0 (- x 1.0))
17.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
14.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	492	549
1	2177	479
2	5002	478

prune279.0ms

Filtered

73 candidates to 55 candidates (24.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
15.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
8.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
7.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	634	1087
1	2675	1000
2	5001	998

prune537.0ms

Filtered

102 candidates to 80 candidates (21.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.0b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.4b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`add-log-exp`
7×	`pow1` `cbrt-undiv`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `sum-log` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
11.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms	(* 6.0 (- x 1.0))
9.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
8.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	752	1425
1	3532	1257
2	5001	1209

prune590.0ms

Filtered

140 candidates to 86 candidates (38.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Merged error: 0b

Counts

145 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt x) (sqrt 1.0))
0.2b	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
0.4b	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
14×	`associate-r` `sqrt-prod`
11×	`pow1`
9×	`add-cube-cbrt`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
7×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
6×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-*l/` `distribute-lft-out--`
3×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `div-exp` `associate-/r*`
2×	`associate-/r/` `*-commutative` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(- (sqrt x) (sqrt 1.0))
8.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
14.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
21.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (sqrt x) (sqrt 1.0))
5.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
13.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
37.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	951	1527
1	5001	1223

prune1.1s

Filtered

123 candidates to 91 candidates (26.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Merged error: 0b

Counts

128 → 5

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample854.0ms

Algorithm

intervals

Results

313.0ms	8000×	body	80	valid
278.0ms	8028×	body	80	nan

Details

sample53.0ms

simplify16.0ms

prune5.0ms

localize14.0ms

rewrite39.0ms

series28.0ms

simplify52.0ms

prune279.0ms

localize8.0ms

rewrite33.0ms

series20.0ms

simplify66.0ms

prune537.0ms

localize11.0ms

rewrite40.0ms

series27.0ms

simplify89.0ms

prune590.0ms

localize12.0ms

rewrite52.0ms

series59.0ms

simplify38.0ms

prune1.1s

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample854.0ms

Profiling